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Algebra i logika, 2017, Volume 56, Number 6, Pages 671–681
DOI: https://doi.org/10.17377/alglog.2017.56.602 (Mi al823) 		 
Automorphism group of a distanceregular graph with intersection array $\{35,32,1;1,4,35\}$

V. V. Bitkinaa, A. A. Makhnevb

a Khetagurov North Ossetian State University, ul. Vatutina 46, Vladikavkaz, 362025 Russia
b Krasovskii Institute of Mathematics and Mechanics, Ural Branch, Russian Academy of Sciences, ul. S. Kovalevskoi 16, Yekaterinburg, 620990 Russia
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DOI: https://doi.org/10.17377/alglog.2017.56.602
Abstract: Let $\Gamma$ be a distance regular graph with intersection array $\{35,32,1;1,4,35\}$ and let $G=\operatorname{Aut}(\Gamma)$ act transitively on the set of vertices of the graph $\Gamma$. It is shown that $G$ is a $\{2,3\}$-group.
Keywords: distance-regular graph, itersection array, automorphism group.
Funding agency Grant number
Russian Science Foundation 15-11-10025
Ministry of Education and Science of the Russian Federation 02.A03.21.0006
Supported by Russian Science Foundation, project No. 15-11-10025 (Theorem) and by the Program for State Aid of Leading RF Universities, Agreement No. 02.A03.21.0006 between the Ministry of Education and Science of the Russian Federation and the Ural Federal University, 27.08.2013 (Corollary).
Received: 27.01.2016
Revised: 20.10.2016
English version:
Algebra and Logic, 2018, Volume 56, Issue 6, Pages 443–450
DOI: https://doi.org/10.1007/s10469-018-9466-9
Bibliographic databases:
Document Type: Article
UDC: 519.17+512.54
Language: Russian
Citation: V. V. Bitkina, A. A. Makhnev, “Automorphism group of a distanceregular graph with intersection array $\{35,32,1;1,4,35\}$”, Algebra Logika, 56:6 (2017), 671–681; Algebra and Logic, 56:6 (2018), 443–450
Citation in format AMSBIB
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\by V.~V.~Bitkina, A.~A.~Makhnev
\paper Automorphism group of a~distanceregular graph with intersection array $\{35,32,1;1,4,35\}$
\jour Algebra Logika
\yr 2017
\vol 56
\issue 6
\pages 671--681
\mathnet{http://mi.mathnet.ru/al823}
\crossref{https://doi.org/10.17377/alglog.2017.56.602}
\transl
\jour Algebra and Logic
\yr 2018
\vol 56
\issue 6
\pages 443--450
\crossref{https://doi.org/10.1007/s10469-018-9466-9}
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    		Алгебра и логика Algebra and Logic
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